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Ramachandramurthy, V.; Aruna, A. S.; Kavitha, N.

Bénard-Taylor convection in temperature-dependent variable viscosity Newtonian liquids with internal heat source. (English) Zbl 1461.76160

Int. J. Appl. Comput. Math. 6, No. 2, Paper No. 27, 14 p. (2020).
An analytical study of nonlinear Rayleigh-Benard-Taylor convection is made in the presence of variable heat source/ sink and temperature-dependent viscosity. The effect of rotation in the form of Coriolis force is considered in the problem. The basic temperature gradient and viscosity are expressed in the form of Fourier cosine series. The Galerkin weighted residual state technique is used to determine the analytical expression for the thermal Rayleigh number Rayleigh number in terms of the internal Rayleigh number, thermorheological parameter and Taylor number. Local nonlinear stability analysis was carried out from the classical Lorentz model with viscosity and Coriolis force dependent coefficients. A fourth-order Runge-Kutta method was used to solve the nonlinear equation, however, no error analysis was performed. The paper also presents an expression of the Nusselt number at the lower boundary.
Reviewer: K. N. Shukla (Gurgaon)

Cited in 4 Documents

MSC:

76E06 Convection in hydrodynamic stability
76E07 Rotation in hydrodynamic stability
80A19 Diffusive and convective heat and mass transfer, heat flow

Keywords:

rotating fluid; thermorheological effect; generalized Lorentz model; Galerkin weighted residual method; Nusselt number
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